A company offers its customers to take a vehicle and an educational loan. A study shows that the probability that a customer takes a vehicle loan is 0.35, the probability that a customer takes an educational loan is 0.46 and the probability that a customer takes at least one of the loan is 0.59. Find the probability that a customer takes both vehicle and educational loans.
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probability of vehicle loan = p(v) = 0.35
probability of education loan = p(e) = 0.46
probability of atleast one of the loan
=p(v U e) =0.59
p(v U e) = p(v)+p(e) -p(v n e)
0.59 = 0.35+0.46-p(vne)
p(v n e) = 0.22
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